Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cx |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-27965606400000000 = -1 · 215 · 310 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53292,-9335824] |
[a1,a2,a3,a4,a6] |
Generators |
[542:11000:1] |
Generators of the group modulo torsion |
j |
-700700304968/1170703125 |
j-invariant |
L |
9.3707692248183 |
L(r)(E,1)/r! |
Ω |
0.14859348863614 |
Real period |
R |
1.9707225473805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560cy3 53280bq2 35520d3 |
Quadratic twists by: -4 8 -3 |